Finding the Third Proportional to 30,593 and 64,885

Step by Step Solution

1. Step 1: Write the proportion equation
   30,593 : 64,885 = 64,885 : x
2. Step 2: Convert to fraction form
   30,593/64,885 = 64,885/x
3. Step 3: Cross multiply
   30,593x = 64,885 × 64,885
4. Step 4: Simplify right side
   30,593x = 4,210,063,225
5. Step 5: Solve for x
   x = 4,210,063,225/30,593
6. Step 6: Final answer
   x = 137,615.25